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Finding the Fourth Proportional to 12,131.22, 18,232.74 and 10,064.64

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Solution

The fourth proportional to 12,131.22, 18,232.74 and 10,064.64 is: 15,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.22 : 18,232.74 = 10,064.64 : x
  2. Step 2: Convert to fraction form
    12,131.22/18,232.74 = 10,064.64/x
  3. Step 3: Cross multiply
    12,131.22x = 18,232.74 × 10,064.64
  4. Step 4: Simplify right side
    12,131.22x = 183,505,964.31
  5. Step 5: Solve for x
    x = 183,505,964.31/12,131.22
  6. Step 6: Final answer
    x = 15,126.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.